Atomistic modelling of near-crack-tip plasticity
Nonlinearity, ISSN: 1361-6544, Vol: 34, Issue: 7, Page: 4503-4542
2021
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Article Description
An atomistic model of near-crack-tip plasticity on a square lattice under anti-plane shear kinematics is formulated and studied. The model is based upon a new geometric and functional framework of a lattice manifold complex, which ensures that the crack surface is fully taken into account, while preserving the crucial notion of duality. As a result, existence of locally stable equilibrium configurations containing both a crack opening and dislocations is established. Notably, with the boundary in the form of a crack surface accounted for, no minimum separation between a dislocation core and the crack surface or the crack tip is required. The work presented here constitutes a foundation for several further studies aiming to put the phenomenon of near-crack-tip plasticity on a rigorous footing.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85110546435&origin=inward; http://dx.doi.org/10.1088/1361-6544/abf33c; https://iopscience.iop.org/article/10.1088/1361-6544/abf33c; https://dx.doi.org/10.1088/1361-6544/abf33c; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=5f3cbec5-c2bc-47bc-bf5f-ce14797ac795&ssb=84141254322&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1361-6544%2Fabf33c&ssi=c3e40852-cnvj-41d4-a7ee-47a80428983e&ssk=botmanager_support@radware.com&ssm=92997497807374734658489678076847632&ssn=6412a7bacaee2b99f57eaa9c95a5c509e8df9257b256-2e92-4da1-a75f03&sso=5fa7f013-e6f1be2ceeb89bef05ed5dd62f1f50273298e8eccd674f8c&ssp=26516074171731242148173179834838530&ssq=40128968219112537081375300404812440032421&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDA4YzlmMGU3NC00YmYzLTRiZWMtYjRiOC03ZDI5MGJiODNkZTUxNzMxMjc1MzAwNDc1NTA2ODkwNzYwLTRlYzExYzgxNzVhZmEzNDk2NTg0NSIsInV6bXgiOiI3ZjkwMDA5YzczNWZhZS0wNThiLTQxNDktYTEzYi1kMzE2NjhlMzRkYWU3LTE3MzEyNzUzMDA0NzU1MDY4OTA3NjAtMTQ0MzlkZWM3ZTc4ZDQyMjY1ODQ1IiwicmQiOiJpb3Aub3JnIn0=
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